3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.NA2020
Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schrödinger equation
Alexandre Poulain, Katharina Schratz
We carry out the convergence analysis of the Scalar Auxiliary Variable (SAV) method applied to the nonlinear Schrödinger equation which preserves a modified Hamiltonian on the disc…
nlin.PS2020★ 3 cited
Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach
Luis Almeida, Gissell Estrada-Rodriguez, Lisa Oliver +3
Motivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we develop a mathematical model where tumour aggregate formation is obtained as the result…
math.AP2019
A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility
Alexandre Poulain, Federica Bubba
We propose and analyze a finite element approximation of the relaxed Cahn-Hilliard equation with singular single-well potential of Lennard-Jones type and degenerate mobility that i…